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Finding the Fourth Proportional to 8,177.69, 11,286.68 and 4,820.30

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Solution

The fourth proportional to 8,177.69, 11,286.68 and 4,820.30 is: 6,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.69 : 11,286.68 = 4,820.30 : x
  2. Step 2: Convert to fraction form
    8,177.69/11,286.68 = 4,820.30/x
  3. Step 3: Cross multiply
    8,177.69x = 11,286.68 × 4,820.30
  4. Step 4: Simplify right side
    8,177.69x = 54,405,236.00
  5. Step 5: Solve for x
    x = 54,405,236.00/8,177.69
  6. Step 6: Final answer
    x = 6,652.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.